Christian Krattenthaler's Home Page

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I am a faculty member at the Fakultät für Mathematik of the Universität Wien working in combinatorics and as such am the "head" of the Institut's combinatorics group, which is a member of the Special Research Programme "Algorithmic and Enumerative Combinatorics", financed by the Austrian Science Foundation FWF. In this framework, the joint seminar Arbeitsgemeinschaft für Diskrete Mathematik" takes place every tuesday together with colleagues from the University of Technology of Vienna.
For a list of my students (and, partially, their theses) see here.

In the next future, I am involved in the organisation of two major events: together with the Institut Français in Vienna, the mathematics spring programme Mathematik 2014 is organised. Second, together with Abdelmalek Abdesselam, Adrian Tanasa and Fabien Vignes-Tourneret, I am one of the organisers of the programme "Combinatorics, Geometry, and Physics", June 2 - July 31, 2014, at the Erwin Schrödinger Institute for Mathematical Physics.

My research interests are all sort of enumerative combinatorics and algebraic combinatorics. I have strong side interests in (basic) hypergeometric series and number theory.

If you share (at least some of) my interests then feel free to browse through the list of my papers. You will find abstracts for all my papers, a reference for those which already appeared, and dvi-files and gzipped postscript files for most of them. If you are interested, you may also look at transparencies and videos of talks (including popular ones) that I have given.

My interest in (basic) hypergeometric series led me to develop two Mathematica packages, HYP and HYPQ. The package HYP allows you to manipulate and identify binomial series and hypergeometric series, the package HYPQ allows you to manipulate and identify q-binomial series and basic hypergeometric series. Click on it to receive more information and/or download the relevant Mathematica files to your computer. (There is an almost equivalent Maple package by Bruno Gauthier: HYPERG.)

If you need to guess sequences of numbers very often, then my Mathematica "guessing machine" RATE (which has now become part of Neil Sloane's Encyclopedia of Integer Sequences) may be useful for you. The Maple implementation by François Béraud and Bruno Gauthier is called GUESS. A Maxima implementation, DEVINE, written by Martin Rubey, is also available. The Axiom guessing package Guess, also written by Martin Rubey, is even more powerful as its range of detected formulas is larger.

I am one of the three editors-in-chief of the Séminaire Lotharingien de Combinatoire (you find many papers of the old (printed) issues of the Séminaire Lotharingien de Combinatoire there). I am also editor for aequationes mathematicae, Discrete Mathematics and Theoretical Computer Science, Journal of Combinatorial Theory - Series A, Monatshefte für Mathematik, Confluentes Mathematici, and for The Ramanujan Journal.

For your (and my) convenience, here is a pointer to the Electronic Journal of Combinatorics (click here for the mirror site at the EMS), the first fully electronic journal, containing a lot of useful information for the combinatorialist.

For the musically inclined (warning: "classical" music!) I am able to offer some samples from my previous life as a pianist.

Finally, here are links that I use frequently.

Christian Krattenthaler
Mailing address:
Fakultät für Mathematik
Universität Wien
Oskar-Morgenstern-Platz 1
A-1090 Vienna
AUSTRIA
tel: +43/1/427750453
fax: +43/1/4277850453, +43/1/427750620, +43/1/427750670
office hour (Sprechstunde): any time is fine
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